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Finding the Third Proportional to 473,646 and 749,916

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Solution

The third proportional to 473,646 and 749,916 is: 1,187,329.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,646 : 749,916 = 749,916 : x
  2. Step 2: Convert to fraction form
    473,646/749,916 = 749,916/x
  3. Step 3: Cross multiply
    473,646x = 749,916 × 749,916
  4. Step 4: Simplify right side
    473,646x = 562,374,007,056
  5. Step 5: Solve for x
    x = 562,374,007,056/473,646
  6. Step 6: Final answer
    x = 1,187,329.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.